Not only is it not impossible, but it's also doable to pace yourself while blindfolded.
I've tested it. In recurrent land navigation training in the Army, I was able to walk in a football field from the end zone to the 50-yard line blindfolded and stop directly on top of the line. The point they were trying to get across was having trouble pacing yourself and keeping your bearing properly in heavy brush at night, when you can't see properly. Their illustration failed for some of us.
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